!
!////////////////////////////////////////////////////////////////////////
!
! Manufactured solutions definitions for 3D case (Navier-Stokes/Spalart-Almaras)
!
!////////////////////////////////////////////////////////////////////////////////////////
MODULE ManufacturedSolutionsNSSA
USE SMConstants
USE PhysicsStorage_NSSA
USE Physics_NSSA
use FluidData_NSSA
use VariableConversion_NSSA
IMPLICIT NONE
private
public InitializeManufacturedSol, ManufacturedSolP
public ManufacturedSolutionState
public ManufacturedSolutionSourceNSSA
real(kind=RP) :: dwall, cv2, sbar, somega
real(kind=RP) :: rhoinit, rhox, rhoy, rhoxy, arhox, arhoy, arhoxy
real(kind=RP) :: uinit, ux, uy, uxy, aux, auy, auxy
real(kind=RP) :: vinit, vx, vy, vxy, avx, avy, avxy
real(kind=RP) :: pinit, px, py, pxy, apx, apy, apxy
real(kind=RP) :: thetainit, thetax, thetay, thetaxy, athetax, athetay, athetaxy
!========
CONTAINS
!========
!
!///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
!
SUBROUTINE InitializeManufacturedSol(ProblemDIM)
IMPLICIT NONE
!
! --------------------------------------------------------------------------------------
! Constant definitions for the manufactured solutions.
!
! The primitive variable j(rho, u, v, w, p) is defined as:
! j = jC(1) + jC(2)*Sin(pi*jC(5)*x) + jC(3)*Sin(pi*jC(6)*y) + jC(4)*Sin(pi*jC(7)*z)
! See:
! |> Roy, Chris, Curt Ober, and Tom Smith. "Verification of a compressible CFD code
! using the method of manufactured solutions." 32nd AIAA Fluid Dynamics Conference
! and Exhibit. 2002.
! --------------------------------------------------------------------------------------
!
CHARACTER(LEN=*) :: ProblemDIM
END SUBROUTINE InitializeManufacturedSol
!
!///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
!
FUNCTION ManufacturedSolP(x) RESULT(p)
IMPLICIT NONE
REAL(KIND=RP) :: x(3), p
END FUNCTION ManufacturedSolP
!
!///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
!
SUBROUTINE ManufacturedSolutionState( xvec, Q, thetaeddy )
IMPLICIT NONE
!
! ----------------------------------------------------
! Manufactured solution state (valid for Euler and NS)
! ----------------------------------------------------
!
REAL(KIND=RP), intent(in) :: xvec(3)
REAL(KIND=RP), intent(inout) :: Q(NCONS)
REAL(KIND=RP), intent(inout) :: thetaeddy
REAL(KIND=RP) :: rho , u, v, w, en
associate ( x => xvec(1), &
y => xvec(2), &
z => xvec(3), &
gamma => thermodynamics % gamma)
rho = exp(x)*1.0_RP/10.0_RP + exp(y)*1.0_RP/10.0_RP + exp(z)*1.0_RP/10.0_RP + 1.0_RP
u = COS(PI*(x + y +z ))
v = SIN(PI*(x + y +z ))
w = 0.5_RP*COS(PI*(x + y +z )) + 0.5_RP*SIN(PI*(x + y +z ))
en = 1.0_RP/(thermodynamics % gamma - 1._RP) + 3.0_RP/2.0_RP
thetaeddy = COS(PI*(x + y +z ))
Q(1) = rho
Q(2) = rho * u
Q(3) = rho * v
Q(4) = rho * w
Q(5) = rho * en
Q(6) = rho * thetaeddy
end associate
END SUBROUTINE ManufacturedSolutionState
!
!///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
!
!
!///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
!
subroutine ManufacturedSolutionSourceNSSA(xvec, dwall, time, S)
!
! --------------------------------------------
! Called to apply source terms to the equation
! --------------------------------------------
use SMConstants
IMPLICIT NONE
real(kind=RP), intent(in) :: xvec(NDIM)
real(kind=RP), intent(inout) :: dwall
real(kind=RP), intent(in) :: time
real(kind=RP), intent(inout) :: S(NCONS)
! --------- my ----------
real(kind=RP) :: Q(NCONS)
real(kind=RP) :: cv2, sbar, somega, S51, S52, S531, S532, S533, S534, S535, S536 ,S541, S542,S55,S56, S57, cwone, theta, eta, test1, test2, test3
cv2 = 0.7_RP
cwone = 0.1355_RP / (0.41_RP*0.41_RP) + (1.0_RP + 0.622_RP)/ (2.0_RP/3.0_RP)!
dwall = xvec(2) + 1.0_RP
call ManufacturedSolutionState( xvec, Q, theta)
associate ( x => xvec(1), &
y => xvec(2), &
z => xvec(3), &
gamma => thermodynamics % gamma, &
Mach => dimensionless % Mach, &
Re => dimensionless % Re, &
Pr => dimensionless % Pr, &
Prt => dimensionless % Prt, &
gammaM2 => dimensionless % gammaM2, &
tRatio => S_div_Tref_Sutherland )
somega = Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.)
sbar = (5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/dwall**2.
S(1) = -0.1*exp(x)*Cos(Pi*(x + y + z)) - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z)) - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z))) - &
0.1*exp(z)*(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
0.1*exp(y)*Sin(Pi*(x + y + z)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))
if (theta .GE. 0.0_RP) then
S(2) = -0.1*exp(x)*Cos(Pi*(x + y + z))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z))) - &
0.1*exp(z)*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
0.1*exp(y)*Cos(Pi*(x + y + z))*Sin(Pi*(x + y + z)) + &
2*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
Sin(Pi*(x + y + z)) + (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))**2 - &
0.1*exp(x)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)) + &
((-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((-(Pi**2*Cos(Pi*(x + y + z))) - Pi**2*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
(-2*Pi**2*Cos(Pi*(x + y + z))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 14.804406601634037*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
2*Pi*Sin(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)))/Re
S(3) = -((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))**2) - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
0.1*exp(x)*Cos(Pi*(x + y + z))*Sin(Pi*(x + y + z)) - &
2*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
Sin(Pi*(x + y + z)) - (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) - &
0.1*exp(z)*(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sin(Pi*(x + y + z)) - 0.1*exp(y)*Sin(Pi*(x + y + z))**2 + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))**2 - &
0.1*exp(y)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)) + &
((-4.934802200544679*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((-(Pi**2*Cos(Pi*(x + y + z))) - Pi**2*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
(-0.6666666666666666*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 14.804406601634037*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
2*Pi**2*Sin(Pi*(x + y + z))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
2*Pi*Cos(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)))/Re
S(4) = -((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))) - &
0.1*exp(x)*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
2*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
0.1*exp(z)*(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) - &
0.1*exp(y)*(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sin(Pi*(x + y + z)) + (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) - &
0.1*exp(z)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)) + &
((-4.934802200544679*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
((4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)))/Re + &
(-0.6666666666666666*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 14.804406601634037*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
2*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)))/Re
S(5) = -(Cos(Pi*(x + y + z))*(0.1*exp(x)*(1.5 + 1./(-1. + gamma)) - &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
0.1*exp(x)*(-1. + gamma)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
Sin(Pi*(x + y + z))*(0.1*exp(y)*(1.5 + 1./(-1. + gamma)) - &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
0.1*exp(y)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(0.1*exp(z)*(1.5 + 1./(-1. + gamma)) - &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
0.1*exp(z)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
Pi*Cos(Pi*(x + y + z))*((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5 + 1./(-1. + gamma)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(1.5 + 1./(-1. + gamma)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
Pi*Sin(Pi*(x + y + z))*((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5 + 1./(-1. + gamma)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))
S(5) = S(5) + ((-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
Pi*Cos(Pi*(x + y + z))*(Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
Sin(Pi*(x + y + z))*(-(Pi**2*Cos(Pi*(x + y + z))) - &
Pi**2*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
Sin(Pi*(x + y + z))*(Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) - &
Pi*Sin(Pi*(x + y + z))*(-2*Pi*Sin(Pi*(x + y + z))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))) + &
Cos(Pi*(x + y + z))*(-2*Pi**2*Cos(Pi*(x + y + z))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 14.804406601634037*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
2*Pi*Sin(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re
S(5) = S(5) + (-1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2* &
((gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re - &
(1.*(-1. + gamma)*gammaM2*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re - &
(1.*(-1. + gamma)*gammaM2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2) - &
(0.5*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Mach**2.*Pr*Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re
S(5) = S(5) + ((1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) - &
Pi*Sin(Pi*(x + y + z))*(Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
Cos(Pi*(x + y + z))*(-(Pi**2*Cos(Pi*(x + y + z))) - &
Pi**2*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
Cos(Pi*(x + y + z))*(Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
Pi*Cos(Pi*(x + y + z))*(2*Pi*Cos(Pi*(x + y + z))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))) + &
Sin(Pi*(x + y + z))*(-0.6666666666666666* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
2*Pi**2*Sin(Pi*(x + y + z))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
2*Pi*Cos(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re
S(5) = S(5) + (-1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2* &
((gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re - &
(1.*(-1. + gamma)*gammaM2*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re - &
(1.*(-1. + gamma)*gammaM2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2) - &
(0.5*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Mach**2.*Pr*Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re
S(5) = S(5) + (Cos(Pi*(x + y + z))*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 4.934802200544679*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
Pi*Cos(Pi*(x + y + z))*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) - &
Pi*Sin(Pi*(x + y + z))*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
Cos(Pi*(x + y + z))*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)) + &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))) + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(-0.6666666666666666*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 14.804406601634037*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
2*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
0.6666666666666666*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2 + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))))/ &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re
S(5) = S(5) + (-1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2* &
((gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re - &
(1.*(-1. + gamma)*gammaM2*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re - &
(1.*(-1. + gamma)*gammaM2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2) - &
(0.5*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Mach**2.*Pr*Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**5.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)**2) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.)) + &
(3.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
((-1. + gamma)*Mach**2.*Prt* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))))**3.))))/Re
S(6) = -0.1*exp(x)*Cos(Pi*(x + y + z))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z))) - &
0.1*exp(z)*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
0.1*exp(y)*Cos(Pi*(x + y + z))*Sin(Pi*(x + y + z)) + &
2*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
Sin(Pi*(x + y + z)) + (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))**2 - &
(14.137166941154069*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2) + &
(7.0685834705770345*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(Re*Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(14.137166941154069*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(44.41321980490211*(-1. + gamma)*gammaM2*(1. + tRatio)*Cos(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(4.71238898038469*(-1. + gamma)*gammaM2*(1. + tRatio)*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(4.71238898038469*(-1. + gamma)*gammaM2*(1. + tRatio)*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(4.71238898038469*(-1. + gamma)*gammaM2*(1. + tRatio)*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))
if (sbar .GE. (-cv2 * somega * Re)) then
S(6) = S(6) + (-2.0051747451504216*cwone*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))**2.* &
(Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re*(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))) + &
0.3*(-Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re*(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))) + &
Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re*(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re))))**6.))* &
(1/(64. + (Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re*(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))) + &
0.3*(-Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re* &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
+ (5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))) + &
Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re* &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
+ (5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re))))**6.))**6.))**0.16666666666666666)/ &
(dwall**2*Re) + (27.625022718649113*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(-Sin(Pi*(x + y + z)))**2.)/Re + &
0.1355*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))**2 &
+ (Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re))
else
S(6) = S(6) + (-2.0051747451504216*cwone*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))**2.* &
(Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re*(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.)* &
(0.48999999999999994* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(5.353955978584177*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))/ &
(-0.4999999999999999* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) - &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re))))) + &
0.3*(-Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re*(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.)* &
(0.48999999999999994* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
+ (5.353955978584177*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))/ &
(-0.4999999999999999* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
- (5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re))))) + &
Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re*(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.)* &
(0.48999999999999994* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
+ (5.353955978584177*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))/ &
(-0.4999999999999999* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
- (5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))))**6.))* &
(1/(64. + (Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re*(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.)* &
(0.48999999999999994* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))** &
2.) + &
(5.353955978584177*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))/ &
(-0.4999999999999999* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
- (5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re))))) + &
0.3*(-Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re* &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
+ (Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))** &
2.)* &
(0.48999999999999994* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + &
Pi*Sin(Pi*(x + y + z)))**2.) + &
(5.353955978584177*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))/ &
(-0.4999999999999999* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + &
Pi*Sin(Pi*(x + y + z)))**2.) - &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re))))) + &
Min(2.,(5.948839976204641*Cos(Pi*(x + y + z)))/ &
(dwall**2*Re* &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
+ (Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))** &
2.)* &
(0.48999999999999994* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + &
Pi*Sin(Pi*(x + y + z)))**2.) + &
(5.353955978584177*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))/ &
(-0.4999999999999999* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - &
Pi*Sin(Pi*(x + y + z)))**2 + &
(Pi*Cos(Pi*(x + y + z)) + &
Pi*Sin(Pi*(x + y + z)))**2.) - &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))))**6.))**6.))**0.16666666666666666) &
/(dwall**2*Re) + (27.625022718649113*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(-Sin(Pi*(x + y + z)))**2.)/Re + &
0.1355*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))**2 &
+ (Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) + &
(Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2 + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))** &
2 + (Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.)* &
(0.48999999999999994* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - 1.5707963267948966*Sin(Pi*(x + y + z)) &
)**2 + (-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)) &
)**2 + (Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) &
+ (5.353955978584177*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))/ &
(-0.4999999999999999*Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - &
Pi*Cos(Pi*(x + y + z)) - 1.5707963267948966*Sin(Pi*(x + y + z))) &
**2 + (-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z))) &
**2 + (Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.) - &
(5.948839976204641*Cos(Pi*(x + y + z))* &
(1. - ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.)/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))** &
2 + Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(357.91099999999994 + &
(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
Cos(Pi*(x + y + z))* &
(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5* &
(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + &
0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**3.))))))/ &
(dwall**2.*Re)))
end if
else
S(2) = -0.1*exp(x)*Cos(Pi*(x + y + z))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z))) - &
0.1*exp(z)*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
0.1*exp(y)*Cos(Pi*(x + y + z))*Sin(Pi*(x + y + z)) + &
2*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
Sin(Pi*(x + y + z)) + (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))**2 - &
0.1*exp(x)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)) + &
((Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-(Pi**2*Cos(Pi*(x + y + z))) - Pi**2*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-0.6666666666666666*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 + &
(0.3333333333333333*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
2*Pi*Sin(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
2*Pi**2*Cos(Pi*(x + y + z))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re
S(3) = -((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))**2) - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
0.1*exp(x)*Cos(Pi*(x + y + z))*Sin(Pi*(x + y + z)) - &
2*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
Sin(Pi*(x + y + z)) - (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) - &
0.1*exp(z)*(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sin(Pi*(x + y + z)) - 0.1*exp(y)*Sin(Pi*(x + y + z))**2 + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))**2 - &
0.1*exp(y)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)) + &
((4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-4.934802200544679*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-(Pi**2*Cos(Pi*(x + y + z))) - Pi**2*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-0.6666666666666666*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 + &
(0.3333333333333333*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
2*Pi*Cos(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
2*Pi**2*Sin(Pi*(x + y + z))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re
S(4) = -((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))) - &
0.1*exp(x)*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
2*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) - &
0.1*exp(z)*(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) - &
0.1*exp(y)*(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sin(Pi*(x + y + z)) + (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) - &
0.1*exp(z)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)) + &
((4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-4.934802200544679*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re + &
((-0.6666666666666666*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 + &
(0.3333333333333333*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
2*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))/Re
S(5) = -(Cos(Pi*(x + y + z))*(0.1*exp(x)*(1.5 + 1./(-1. + gamma)) - &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
0.1*exp(x)*(-1. + gamma)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
Sin(Pi*(x + y + z))*(0.1*exp(y)*(1.5 + 1./(-1. + gamma)) - &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
0.1*exp(y)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(0.1*exp(z)*(1.5 + 1./(-1. + gamma)) - &
1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
0.1*exp(z)*(-1. + gamma)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
Pi*Cos(Pi*(x + y + z))*((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5 + 1./(-1. + gamma)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(1.5 + 1./(-1. + gamma)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
Pi*Sin(Pi*(x + y + z))*((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(1.5 + 1./(-1. + gamma)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*(-1. + gamma)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
((4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
Cos(Pi*(x + y + z))*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2) - &
(0.5*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Mach**2.*Pr*Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) + &
Cos(Pi*(x + y + z))*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 4.934802200544679*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
Pi*Cos(Pi*(x + y + z))*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
Pi*Sin(Pi*(x + y + z))*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2* &
(0. + (gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) - &
1.*(-1. + gamma)*gammaM2* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(0. + (gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((-0.6666666666666666*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 + &
(0.3333333333333333*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 14.804406601634037*Sin(Pi*(x + y + z)) &
)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
2*(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) + &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
((-0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
2*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/Re + &
(Sin(Pi*(x + y + z))*(Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2) - &
(0.5*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Mach**2.*Pr*Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) + &
(-4.934802200544679*Cos(Pi*(x + y + z)) - Pi**2*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
Pi*Cos(Pi*(x + y + z))*(Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
Sin(Pi*(x + y + z))*(-(Pi**2*Cos(Pi*(x + y + z))) - &
Pi**2*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2* &
(0. + (gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) - &
1.*(-1. + gamma)*gammaM2* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(0. + (gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) + &
Cos(Pi*(x + y + z))*((-0.6666666666666666*(-1. + gamma)**2*gammaM2**2* &
(1. + tRatio)*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 + &
(0.3333333333333333*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 14.804406601634037*Sin(Pi*(x + y + z)) &
)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
2*Pi*Sin(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
2*Pi**2*Cos(Pi*(x + y + z))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) - &
Pi*Sin(Pi*(x + y + z))*((-0.6666666666666666*(-1. + gamma)*gammaM2* &
(1. + tRatio)*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
2*Pi*Sin(Pi*(x + y + z))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/Re + &
((4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
Cos(Pi*(x + y + z))*(Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
((1.*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2) - &
(0.5*(-1. + gamma)*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Mach**2.*Pr*Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) + &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
14.804406601634037*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
Pi*Sin(Pi*(x + y + z))*(Pi*Cos(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
Cos(Pi*(x + y + z))*(-(Pi**2*Cos(Pi*(x + y + z))) - &
Pi**2*Sin(Pi*(x + y + z)))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
1.*(-1. + gamma)*gammaM2* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2* &
(0. + (gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) - &
1.*(-1. + gamma)*gammaM2* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
4.934802200544679*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(0. + (gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(Mach**2.*Pr*(tRatio + &
(-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) + &
Pi*Cos(Pi*(x + y + z))*((-0.6666666666666666*(-1. + gamma)*gammaM2* &
(1. + tRatio)*(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
2*Pi*Cos(Pi*(x + y + z))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))) + &
Sin(Pi*(x + y + z))*((-0.6666666666666666*(-1. + gamma)**2*gammaM2**2* &
(1. + tRatio)*(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 + &
(0.3333333333333333*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(4.71238898038469*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) - &
(0.6666666666666666*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(-4.934802200544679*Cos(Pi*(x + y + z)) - &
Pi**2*Cos(Pi*(x + y + z)) - 14.804406601634037*Sin(Pi*(x + y + z)) &
)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))) + &
2*Pi*Cos(Pi*(x + y + z))* &
((1.*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2 - &
(0.5*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))/ &
(Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(1.*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
2*Pi**2*Sin(Pi*(x + y + z))* &
(0. + ((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))))/Re
S(6) = -0.1*exp(x)*Cos(Pi*(x + y + z))**2 - &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))**2 + &
(1.*cwone*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))**2)/ &
(dwall**2*Re) - (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z))) - &
0.1*exp(z)*Cos(Pi*(x + y + z))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))) + &
(27.625022718649113*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))* &
(-Sin(Pi*(x + y + z)))**2.)/Re - &
0.1*exp(y)*Cos(Pi*(x + y + z))*Sin(Pi*(x + y + z)) + &
2*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Cos(Pi*(x + y + z))* &
Sin(Pi*(x + y + z)) + (1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z)) + &
(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))**2 - &
(14.137166941154069*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
0.5*(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**2) + &
(7.0685834705770345*(-1. + gamma)**2*gammaM2**2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
0.5*(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.))/ &
(Re*Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(14.137166941154069*(-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))*Sin(Pi*(x + y + z))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
0.5*(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(44.41321980490211*(-1. + gamma)*gammaM2*(1. + tRatio)*Cos(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
(1. + ((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
0.5*(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(4.71238898038469*(-1. + gamma)*gammaM2*(1. + tRatio)*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
1.*(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**1.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(x)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(4.71238898038469*(-1. + gamma)*gammaM2*(1. + tRatio)*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
1.*(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**1.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(y)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
(4.71238898038469*(-1. + gamma)*gammaM2*(1. + tRatio)*Sin(Pi*(x + y + z))* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
1.*(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**1.* &
((-1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.5*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((1. + tRatio)*(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))**1.5) + &
(1.*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(1.5707963267948966*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))* &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))**2* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
(0.1*exp(z)*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) - &
((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Pi*Sin(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))))/ &
(Re*(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))) + &
0.1355*(1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
Sqrt((1.5707963267948966*Cos(Pi*(x + y + z)) - Pi*Cos(Pi*(x + y + z)) - &
1.5707963267948966*Sin(Pi*(x + y + z)))**2. + &
(-1.5707963267948966*Cos(Pi*(x + y + z)) + &
1.5707963267948966*Sin(Pi*(x + y + z)) - Pi*Sin(Pi*(x + y + z)))**2. + &
(Pi*Cos(Pi*(x + y + z)) + Pi*Sin(Pi*(x + y + z)))**2.)* &
(1. - (1000.*(((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.)/ &
(1. + (((1. + 0.1*exp(x) + 0.1*exp(y) + 0.1*exp(z))*Cos(Pi*(x + y + z))* &
(tRatio + (-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))))/ &
((-1. + gamma)*gammaM2*(1. + tRatio)* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2))* &
Sqrt((-1. + gamma)*gammaM2* &
(1.5 + 1./(-1. + gamma) - &
0.5*(Cos(Pi*(x + y + z))**2 + &
(0.5*Cos(Pi*(x + y + z)) + 0.5*Sin(Pi*(x + y + z)))**2 + &
Sin(Pi*(x + y + z))**2)))))**2.))
end if
S(:) = -S(:)
end associate
END SUBROUTINE ManufacturedSolutionSourceNSSA
!
!///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
!
END MODULE ManufacturedSolutionsNSSA
